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Materials 2018, 11(9), 1656; https://doi.org/10.3390/ma11091656

Creating the Coupled Band Gaps in Piezoelectric Composite Plates by Interconnected Electric Impedance

1,2,3
,
1
,
1,2,3,* and 4
1
School of Energy and Power Engineering, Beihang University, Beijing 100191, China
2
Beijing Key Laboratory of Aero-Engine Structure and Strength, Beijing 100191, China
3
Collaborative Innovation Center for Advanced Aero-Engine, Beijing 100191, China
4
Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
*
Author to whom correspondence should be addressed.
Received: 22 July 2018 / Revised: 29 August 2018 / Accepted: 4 September 2018 / Published: 7 September 2018
(This article belongs to the Section Smart Materials)
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Abstract

In this paper, we investigate the coupled band gaps created by the locking phenomenon between the electric and flexural waves in piezoelectric composite plates. To do that, the distributed piezoelectric materials should be interconnected via a ‘global’ electric network rather than the respective ‘local’ impedance. Once the uncoupled electric wave has the same wavelength and opposite group velocity as the uncoupled flexural wave, the desired coupled band gap emerges. The Wave Finite Element Method (WFEM) is used to investigate the evolution of the coupled band gap with respect to propagation direction and electric parameters. Further, the bandwidth and directionality of the coupled band gap are compared with the LR and Bragg gaps. An indicator termed ratio of single wave (RSW) is proposed to determine the effective band gap for a given deformation (electric, flexural, etc.). The features of the coupled band gap are validated by a forced response analysis. We show that the coupled band gap, despite directional, can be much wider than the LR gap with the same overall inductance. This might lead to an alternative to adaptively create band gaps. View Full-Text
Keywords: piezoelectric composite plates; interconnected electric network; locking phenomenon; coupled band gap; wave and finite element method piezoelectric composite plates; interconnected electric network; locking phenomenon; coupled band gap; wave and finite element method
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Li, L.; Jiang, Z.; Fan, Y.; Li, J. Creating the Coupled Band Gaps in Piezoelectric Composite Plates by Interconnected Electric Impedance. Materials 2018, 11, 1656.

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